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CAT 2016 Slot 2 · DILR · Data Interpretation · easy

CAT 2016 Slot 2 DILR: Election Vote Shares

An election was contested by three candidates — A, B and C — across four constituencies, C1 to C4. The table below shows the number of votes each candidate received in each constituency. The candidate with the most votes in a constituency wins that constituency.

| Constituency | Candidate A | Candidate B | Candidate C |
|---|---|---|---|
| C1 | 42000 | 35000 | 13000 |
| C2 | 30000 | 48000 | 22000 |
| C3 | 55000 | 25000 | 10000 |
| C4 | 28000 | 30000 | 38000 |

Question 1

Single correct option

Which candidate won the highest number of constituencies?
  1. A. A
  2. B. B
  3. C. C
  4. D. A and B won equally
Show answer and solution

Answer: (A) A

Winners: C1 → A (42,000 > 35,000 > 13,000); C2 → B (48,000 highest); C3 → A (55,000 highest); C4 → C (38,000 highest). A wins 2 constituencies (C1, C3), B wins 1, C wins 1. So A won the most.

Question 2

Numerical answer

What was candidate A's overall vote share (%, to one decimal place) across all four constituencies combined?
Show answer and solution

Answer: 41.2

A's total votes = 42000+30000+55000+28000 = 155000. Total votes cast = (42000+35000+13000)+(30000+48000+22000)+(55000+25000+10000)+(28000+30000+38000) = 90000+100000+90000+96000 = 376000. A's share = 155000/376000 × 100 ≈ 41.2%.

Question 3

Numerical answer

What was the margin of victory (in votes) in constituency C3?
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Answer: 30000

In C3: A = 55000, B = 25000, C = 10000. The winner (A) beat the runner-up (B) by 55000 − 25000 = 30000 votes.

Question 4

Single correct option

In how many of the four constituencies did candidate C receive the fewest votes?
  1. A. 1
  2. B. 2
  3. C. 3
  4. D. 4
Show answer and solution

Answer: (C) 3

C's rank in each constituency: C1 (13,000 — lowest of the three), C2 (22,000 — lowest), C3 (10,000 — lowest), C4 (38,000 — highest, C actually wins here). So C finished last in 3 of the 4 constituencies (C1, C2, C3).
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Original question written in the CAT 2016 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake